Efficiently generating terrain openness involves a digital elevation model comprising a texture representing a first geographic area and at least part of a plurality of mipmap levels representing geographic areas bordering the first geographic area. The texture and mipmap levels include pixels encoding elevation values for locations of geographic areas. For each pixel of the texture, derivatives are determined, as well as an openness factor based at least in part on the elevations at one or more pixels of the mipmap levels. The derivatives and openness factor are added to the texture. A hill shading factor is determined for each pixel based at least in part on the derivatives. An electronic map of the first geographic area is rendered using the openness and hill shading factors of each pixel of the texture. The rendering is sent for display.
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1. A method for efficiently rendering a texture, the method comprising: for pixels of a texture of a digital elevation model, where the pixels encode elevations pertaining to locations in a first geographic area, and where the digital elevation model further comprises at least part of a plurality of mipmap levels which encode elevations: determining an openness factor based at least in part on elevations at one or more pixels of the mipmap levels and performing at least one linear interpolation using at least one fractional pixel value; and rendering an electronic map corresponding to the first geographic area using the openness factor of the pixels of the texture.
2. The method of claim 1 , further comprising: sending the texture for storage in a computer-readable storage medium; receiving a render request; and receiving the texture from storage.
3. The method of claim 1 , further comprising: receiving the digital elevation model from a server separate from a mobile computing device performing the method.
4. The method of claim 1 , wherein the openness factors are used to adjust hill shading values.
5. The method of claim 1 , wherein the digital elevation model is arranged as a grid, and wherein determining the openness factor further comprises: for each direction of a plurality of directions on the grid from a pixel: determining a greatest elevation among a plurality of pixels in the direction, where at least one pixel of the pixels in the direction is from at least part of a mipmap level; and determining an angle based on the elevation of the pixel and the greatest elevation; and averaging the determined angles.
6. The method of claim 1 , wherein rendering the electronic map further comprises determining colors for pixels of the texture based at least in part on a determined openness factors of the pixels.
7. A non-transitory computer-readable storage medium storing computer program instructions executable by one or more processors to perform operations for efficiently rendering a texture, the operations comprising: for pixels of a texture of a digital elevation model, where the pixels encode elevations pertaining to locations in a first geographic area, where the digital elevation model further comprises at least part of a plurality of mipmap levels which encode elevations: determining an openness factor based at least in part on elevations at one or more pixels of the mipmap levels and performing at least one linear interpolation using at least one fractional pixel value; and rendering an electronic map corresponding to the first geographic area using the openness factor of the pixels of the texture.
8. The non-transitory computer-readable storage medium of claim 7 , the operations further comprising: sending for storage the texture at a computer-readable storage medium; receiving a render request; and receiving from storage the texture.
9. The non-transitory computer-readable storage medium of claim 7 , the operations further comprising: receiving the digital elevation model from a server separate from a mobile computing device that comprises the one or more processors.
10. The non-transitory computer-readable storage medium of claim 7 , wherein the openness factors are used to adjust hill shading values.
11. The non-transitory computer-readable storage medium of claim 7 , wherein the digital elevation model is arranged as a grid, and wherein determining the openness factor further comprises: for each direction of a plurality of directions on the grid from a pixel: determining a greatest elevation among a plurality of pixels in the direction, where at least one pixel of the pixels in the direction is from at least part of a mipmap level; and determining an angle based on the elevation of the pixel and the greatest elevation; and averaging the angles.
12. The non-transitory computer-readable storage medium of claim 7 , wherein rendering the electronic map further comprises determining colors for pixels of the texture based at least in part on determined openness factors of the pixels.
13. A method for efficiently rendering a texture, the method comprising: for pixels of a texture of a digital elevation model, where the pixels encode elevations pertaining to locations in a first geographic area, and where the digital elevation model is arranged as a grid and further comprises at least part of a plurality of mipmap levels which encode elevations: determining an openness factor based at least in part on elevations at one or more pixels of the mipmap levels and, for each direction of a plurality of directions on the grid from a pixel: determining a greatest elevation among a plurality of pixels in the direction, where at least one pixel of the pixels in the direction is from at least part of a mipmap level; determining an angle based on the elevation of the pixel and the greatest elevation; and averaging the determined angles; and rendering an electronic map corresponding to the first geographic area using the openness factor of the pixels of the texture.
14. The method of claim 13 , further comprising: sending the texture for storage in a computer-readable storage medium; receiving a render request; and receiving the texture from storage.
15. The method of claim 13 , further comprising: receiving the digital elevation model from a server separate from a mobile computing device performing the method.
16. The method of claim 13 , wherein the openness factors are used to adjust hill shading values.
17. The method of claim 13 , wherein rendering the electronic map further comprises determining colors for pixels of the texture based at least in part on a determined openness factors of the pixels.
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October 4, 2019
December 1, 2020
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